Atkin-Lehner |
2+ 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550l |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108192 |
Modular degree for the optimal curve |
Δ |
-1479540736000 = -1 · 223 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 5 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2773,-17019] |
[a1,a2,a3,a4,a6] |
j |
18861455734659/11836325888 |
j-invariant |
L |
0.97822811329449 |
L(r)(E,1)/r! |
Ω |
0.48911404839675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550bi1 |
Quadratic twists by: 5 |